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Variational and microstructure-independent relations for piezoelectric composites

Abstract : The Hill-Mandel lemma is first extended to piezoelectricity. It is then shown that, when the macroscopic variable couple is fixed and when the local piezoelectric tensor field is subjected to a variation, the variation of the macroscopic energy is equal to the volume average of the variations of the microscopic energy. This variational relation is finally used to derive microstructure-independent relations.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00694246
Contributor : Q. C. He <>
Submitted on : Thursday, May 3, 2012 - 11:11:04 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:08 PM

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Qi-Chang He. Variational and microstructure-independent relations for piezoelectric composites. JOURNAL OF MATERIALS SCIENCE & TECHNOLOGY, 2004, 20 (?), pp.69--72. ⟨hal-00694246⟩

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